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133830385824 = 2533116836563
BaseRepresentation
bin111110010100011101…
…0011010000010100000
3110210102212111000011110
41330220322122002200
54143041034321244
6141251505343320
712445304336652
oct1745072320240
9423385430143
10133830385824
1151836844753
1221b2b637b40
13c80a61a715
1466980aa6d2
1537342829b9
hex1f28e9a0a0

133830385824 has 96 divisors (see below), whose sum is σ = 353004148224. Its totient is φ = 44394817280.

The previous prime is 133830385771. The next prime is 133830385831. The reversal of 133830385824 is 428583038331.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20388367 + ... + 20394929.

It is an arithmetic number, because the mean of its divisors is an integer number (3677126544).

Almost surely, 2133830385824 is an apocalyptic number.

It is an amenable number.

133830385824 is an abundant number, since it is smaller than the sum of its proper divisors (219173762400).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

133830385824 is a wasteful number, since it uses less digits than its factorization.

133830385824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7570 (or 7562 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 48.

The spelling of 133830385824 in words is "one hundred thirty-three billion, eight hundred thirty million, three hundred eighty-five thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 311 622 683 933 1244 1366 1866 2049 2488 2732 3732 4098 4976 5464 6563 7464 8196 9952 10928 13126 14928 16392 19689 21856 26252 29856 32784 39378 52504 65568 78756 105008 157512 210016 212413 315024 424826 630048 637239 849652 1274478 1699304 2041093 2548956 3398608 4082186 4482529 5097912 6123279 6797216 8164372 8965058 10195824 12246558 13447587 16328744 17930116 20391648 24493116 26895174 32657488 35860232 48986232 53790348 65314976 71720464 97972464 107580696 143440928 195944928 215161392 430322784 1394066519 2788133038 4182199557 5576266076 8364399114 11152532152 16728798228 22305064304 33457596456 44610128608 66915192912 133830385824